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Finding the Fourth Proportional to 208,586.15, 312,888.32 and 102,059.79

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Solution

The fourth proportional to 208,586.15, 312,888.32 and 102,059.79 is: 153,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,586.15 : 312,888.32 = 102,059.79 : x
  2. Step 2: Convert to fraction form
    208,586.15/312,888.32 = 102,059.79/x
  3. Step 3: Cross multiply
    208,586.15x = 312,888.32 × 102,059.79
  4. Step 4: Simplify right side
    208,586.15x = 31,933,316,895.69
  5. Step 5: Solve for x
    x = 31,933,316,895.69/208,586.15
  6. Step 6: Final answer
    x = 153,094.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.